Least Common Multiple (LCM) of 118 and 57
The least common multiple (LCM) of 118 and 57 is 6726.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 118 and 57?
First, calculate the GCD of 118 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 57 = 2 remainder 4 |
| 2 | 57 ÷ 4 = 14 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 68 | 8364 |
| 199 and 75 | 14925 |
| 121 and 89 | 10769 |
| 112 and 27 | 3024 |
| 185 and 41 | 7585 |